Convex games, clan games, and their marginal games

Branzei R, Dimitrov D, Tijs S (2005) Working Papers. Institute of Mathematical Economics; 368.
Bielefeld: Universität Bielefeld.

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We provide characterizations of convex games and total clan games by using properties of their corresponding marginal games. As it turns out, a cooperative game is convex if and only if all its marginal games are superadditive, and a monotonic game satisfying the veto player property with respect to the members of a coalition C is a total clan game (with clan C) if and only if all its C-based marginal games are subadditive.
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Branzei R, Dimitrov D, Tijs S. Convex games, clan games, and their marginal games. Working Papers. Institute of Mathematical Economics. Vol 368. Bielefeld: Universität Bielefeld; 2005.
Branzei, R., Dimitrov, D., & Tijs, S. (2005). Convex games, clan games, and their marginal games (Working Papers. Institute of Mathematical Economics, 368). Bielefeld: Universität Bielefeld.
Branzei, R., Dimitrov, D., and Tijs, S. (2005). Convex games, clan games, and their marginal games. Working Papers. Institute of Mathematical Economics, 368, Bielefeld: Universität Bielefeld.
Branzei, R., Dimitrov, D., & Tijs, S., 2005. Convex games, clan games, and their marginal games, Working Papers. Institute of Mathematical Economics, no.368, Bielefeld: Universität Bielefeld.
R. Branzei, D. Dimitrov, and S. Tijs, Convex games, clan games, and their marginal games, Working Papers. Institute of Mathematical Economics, vol. 368, Bielefeld: Universität Bielefeld, 2005.
Branzei, R., Dimitrov, D., Tijs, S.: Convex games, clan games, and their marginal games. Working Papers. Institute of Mathematical Economics, 368. Universität Bielefeld, Bielefeld (2005).
Branzei, Rodica, Dimitrov, Dinko, and Tijs, Stef. Convex games, clan games, and their marginal games. Bielefeld: Universität Bielefeld, 2005. Working Papers. Institute of Mathematical Economics. 368.
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